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On Leptons in the Theory of Space-Time Films

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Abstract—

The problem of finding toroidal soliton solutions of the space-time film equation, which can be associated with leptons, is considered. The rational coordinate system with rotation is introduced. The criteria for associating real leptons with soliton solutions are obtained. The iterative method is proposed for finding a solution with the initial approximation in the form of a rotating static solution of the linearized equation. The dependences of the dimensionless energy and spin on the values of the dimensionless parameter of the solution and the amplitude of the oscillating part are obtained.

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Authors and Affiliations

  1. Departments of Mathematics, St. Petersburg State Chemical and Pharmaceutical University, 197376, St. Petersburg, Russia

    A. A. Chernitskii

  2. Friedman laboratory for Theoretical Physics, St. Petersburg, Russia

    A. A. Chernitskii

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  1. A. A. Chernitskii
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Correspondence to A. A. Chernitskii.

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Translated by E. Smirnova

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Chernitskii, A.A. On Leptons in the Theory of Space-Time Films. Phys. Part. Nuclei 54, 685–692 (2023). https://doi.org/10.1134/S1063779623040135

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  • DOI: https://doi.org/10.1134/S1063779623040135

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